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Philosophical Quotes

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Philosophical Quotes

“Accordingly, the poet should prefer probable impossibilities to improbable possibilities. The tragic plot must not be composed of irrational parts.”

Should Possibility Poet Philosophical Mathematical Tragic Plot Irrational Impossibility Improbable Probable Cause

Author:Aristotle

“It is not once nor twice but times without number that the same ideas make their appearance in the world.”

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Author:Aristotle

“The whole is more than the sum of its parts.”

Whole Peace Philosophical Mathematical Greek Biodiversity Flipped Apprenticeship Mathematical Logic Reductionism Holism Summing Up Parts Of A Whole Logical Reasoning

Book:Aristotle's criticisms of Plato

Source: Aristotle's criticisms of Plato

“[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.”

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Author:Albert Einstein

“Philosophical knowledge is the knowledge gained by reason from concepts ; mathematical knowledge is the knowledge gained by reason from the construction of concepts.”

Reason Concepts Philosophical Mathematical Construction Knowledge Gained

Book:Immanuel Kant's Critique Of Pure Reason

Source: Immanuel Kant's Critique Of Pure Reason

“Homeric mind is ingenuity, practical intelligence. There is no Rodin-like deep thinking, no mathematical or philosophical speculation. Odysseus thinks with his hands.”

Thinking Mind Hands Philosophical Practicals Mathematical Speculation Ingenuity Odysseus Deep Thinking Rodin

Book:Sexual Personae: Art and Decadence from Nefertiti to Emily Dickinson

Source: Sexual Personae: Art and Decadence from Nefertiti to Emily Dickinson

“Logical investigations can obviously be a useful tool for philosophy. They must, however, be informed by a sensitivity to the philosophical significance of the formalism and by a generous admixture of common sense, as well as a thorough understanding both of the basic concepts and of the technical details of the formal material used. It should not be supposed that the formalism can grind out philosophical results in a manner beyond the capacity of ordinary philosophical reasoning. There is no mathematical substitute for philosophy.”

“I have presented principles of philosophy that are not, however, philosophical but strictly mathematical-that is, those on which the study of philosophy can be based. These principles are the laws and conditions of motions and of forces, which especially relate to philosophy.”

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Book:The Principia: Mathematical Principles of Natural Philosophy

Source: The Principia: Mathematical Principles of Natural Philosophy

“I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures.”

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Author:Johannes Kepler

“We know next to nothing with any certainty about Pythagoras, except that he was not really called Pythagoras. The name by which he is known to us was probably a nickname bestowed by his followers. According to one source, it meant ‘He who spoke truth like an oracle’. Rather than entrust his mathematical and philosophical ideas to paper, Pythagoras is said to have expounded them before large crowds. The world’s most famous mathematician was also its first rhetorician.”

Knows World Firsts Said Ideas Next Names Known Source Paper Philosophical Crowds Certainty Mathematical Spokes Followers Mathematician Nicknames Oracles Large Crowds

Author:Daniel Tammet

“With my full philosophical rucksack I can only climb slowly up the mountain of mathematics.”

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Author:Ludwig Wittgenstein

“Mere poets are sottish as mere drunkards are, who live in a continual mist, without seeing or judging anything clearly. A man should be learned in several sciences, and should have a reasonable, philosophical and in some measure a mathematical head, to be a complete and excellent poet.”

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Book:The Works of John Dryden: Poetical works

Source: The Works of John Dryden: Poetical works

“The great trick of regarding small departures from the truth as the truth itself - on which is founded the entire integral calculus - is also the basis of our witty speculations, where the whole thing would often collapse if we considered the departures with philosophical rigour.”

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Author:Georg C. Lichtenberg